3 papers
math.NA2018
A BDF2-Approach for the Non-linear Fokker-Planck Equation
Simon Plazotta
We prove convergence of a variational formulation of the BDF2 method applied to the non-linear Fokker-Planck equation. Our approach is inspired by the JKO-method and exploits the d…
math.AP2017
A Variational Formulation of the BDF2 Method for Metric Gradient Flows
Daniel Matthes, Simon Plazotta
We propose a variational form of the BDF2 method as an alternative to the commonly used minimizing movement scheme for the time-discrete approximation of gradient flows in abstract…
math.AP2016
High-frequency limit of non-autonomous gradient flows
Simon Plazotta, Jonathan Zinsl
We study the high-frequency limit of non-autonomous gradient flows in metric spaces of energy functionals comprising an explicitly time-dependent perturbation term which might osci…